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On \({\mathcal{F}}\)-Contractions for Weak α -Admissible Mappings in Metric-Like Spaces

Author

Listed:
  • Jelena Vujaković

    (Faculty of Sciences and Mathematics, University of Priština, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia)

  • Slobodanka Mitrović

    (Faculty of Forestry, Kneza Višeslava 1, University of Belgrade, 11 030 Beograd, Serbia)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78 000 Banja Luka, Bosnia and Herzegovina)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia)

Abstract

In the paper, we consider some fixed point results of F -contractions for triangular α -admissible and triangular weak α -admissible mappings in metric-like spaces. The results on F -contraction type mappings in the context of metric-like spaces are generalized, improved, unified, and enriched. We prove the main result but using only the property ( F 1 ) of the strictly increasing mapping F : 0 , + ∞ → − ∞ , + ∞ . Our approach gives a proper generalization of several results given in current literature.

Suggested Citation

  • Jelena Vujaković & Slobodanka Mitrović & Zoran D. Mitrović & Stojan Radenović, 2020. "On \({\mathcal{F}}\)-Contractions for Weak α -Admissible Mappings in Metric-Like Spaces," Mathematics, MDPI, vol. 8(9), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1629-:d:416534
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